Thin Slicing Right Angles in Quadrilaterals

GeoGebra Commands & Parameters

1. Polygon(A, B, C, D) → q1, a, b, c, d
2. Polygon(A_{1}, B_{1}, C_{1}, D_{1}) → q1_{1}, a_{1}, b_{1}, c_{1}, d_{1}
3. Polygon(A_{2}, B_{2}, C_{2}, D_{2}) → q1_{2}, a_{2}, b_{2}, c_{2}, d_{2}
4. Polygon(A_{3}, B_{3}, C_{3}, D_{3}) → q1_{3}, a_{3}, b_{3}, c_{3}, d_{3}
5. Polygon(A_{4}, B_{4}, C_{4}, D_{4}) → q1_{4}, a_{4}, b_{4}, c_{4}, d_{4}
6. Polygon(A_{5}, B_{5}, C_{5}, D_{5}) → q1_{5}, a_{5}, b_{5}, c_{5}, d_{5}
7. Polygon(A_{6}, B_{6}, C_{6}, D_{6}) → q1_{6}, a_{6}, b_{6}, c_{6}, d_{6}
8. Polygon(A_{7}, B_{7}, C_{7}, D_{7}) → q1_{7}, a_{7}, b_{7}, c_{7}, d_{7}
9. Segment(E, H) → f
10. Segment(F, G) → g
11. Segment(F, E) → h
12. Segment(G, H) → i
13. Segment(E_{1}, H_{1}) → f_{1}
14. Segment(F_{1}, G_{1}) → g_{1}
15. Segment(F_{1}, E_{1}) → h_{1}
16. Segment(G_{1}, H_{1}) → i_{1}
17. Segment(E_{2}, H_{2}) → f_{2}
18. Segment(F_{2}, G_{2}) → g_{2}
19. Segment(F_{2}, E_{2}) → h_{2}
20. Segment(G_{2}, H_{2}) → i_{2}
21. Polygon(A_{11}, B_{11}, C_{11}, D_{11}) → q1_{8}, a_{8}, b_{8}, c_{8}, d_{8}
22. Polygon(I, J, K, L) → q2, i_3, j, k, l
23. Polygon(I_{1}, J_{1}, K_{1}, L_{1}) → q2_{1}, i_{4}, j_{1}, k_{1}, l_{1}
24. Polygon(I_{2}, J_{2}, K_{2}, L_{2}) → q2_{2}, i_{5}, j_{2}, k_{2}, l_{2}
25. Polygon(I_{3}, J_{3}, K_{3}, L_{3}) → q2_{3}, i_{6}, j_{3}, k_{3}, l_{3}
26. Polygon(I_{4}, J_{4}, K_{4}, L_{4}) → q2_{4}, i_{7}, j_{4}, k_{4}, l_{4}
27. Polygon(I_{5}, J_{5}, K_{5}, L_{5}) → q2_{5}, i_{8}, j_{5}, k_{5}, l_{5}
28. Angle(J_{1}, I_{1}, L_{1}) → α
29. Angle(J_{2}, I_{2}, L_{2}) → β
30. Angle(I_{2}, L_{2}, K_{2}) → γ
31. Angle(J_{3}, I_{3}, L_{3}) → δ
32. Angle(L_{3}, K_{3}, J_{3}) → ε
33. Angle(J_{4}, I_{4}, L_{4}) → ζ
34. Angle(I_{4}, L_{4}, K_{4}) → η
35. Angle(L_{4}, K_{4}, J_{4}) → θ
36. Angle(J_{5}, I_{5}, L_{5}) → ι
37. Angle(I_{5}, L_{5}, K_{5}) → κ
38. Angle(L_{5}, K_{5}, J_{5}) → λ
39. Angle(K_{5}, J_{5}, I_{5}) → μ
40. Point(q) → N
41. Point(r) → O